Electrical Resistance Explained

Electricity deregulation enables competitive energy markets, retail choice, and wholesale power pricing, separating generation from transmission and distribution to enhance grid reliability, lower tariffs, spur innovation, and diversify suppliers for industrial and commercial loads.

What Is Electricity Deregulation?

Electricity deregulation unbundles utilities, enabling market-based generation, retail choice, and efficient pricing.

✅ Unbundles generation, transmission, and distribution functions.

✅ Enables locational marginal pricing and demand response programs.

✅ Promotes independent system operators and competitive wholesale markets.

In The United States, Electricity Deregulation is now more than 15 years into an experiment to deregulate and restructure the electric power generation, transmission and distribution industry. Some claim that it has produced national benefits as much as $30 billion per year. Others claim the change has resulted in penalties as high as $30 billion per year. And still others point to major declines in reliability and increased frequency of blackouts. For context, resources like what electricity is can clarify foundational terms before policy comparisons.

Why are there such broad disagreement about the impact? How do the results of deregulation and restructuring compare with predictions? Has the change benefited our industrial or commercial users, ordinary consumers and our national economy? To determine the answers to these questions, the key changes that were implemented must be reviewed. A primer on electric power systems helps frame how generation, transmission, and distribution interact under different market rules.

The nature of electric power systems requires significant investments in major facilities, typically costing from tens of millions to billions of dollars. These facilities have long construction lead-times, taking years from start to completion, and often remain in service for as long as 40 years. Regulation provided for the return of the investment (depreciation) and the return on the investment (earnings) over the facilities lifetime. These cost-recovery structures ultimately filter into electricity prices that customers see on their bills.

The systems were interconnected to take advantage of the diversity in times of peak use and in times of equipment failures and emergencies. The industry focus was on long-term cost minimization. Decisions were based on life-cycle cost analyses. In such an environment, a high degree of cooperation developed among those involved in owning, managing, planning and operating electric power systems2. The national savings from this cooperation and interconnection were carefully studied many times and had increased to nearly $20 billion annually3 by the late 1980s. Prices to consumers, controlled by state regulators, were reduced by these savings. Such regional coordination also stabilizes electricity supply during peak seasons and emergencies.

Many supporters of this and the introduction of competition into the electric power business believed it would lead to significant economic benefits and price reductions to consumers. The move to have competition replace government regulation gained many adherents, particularly in large industry, where there were concerns over growing foreign competition; with economists in the nation's universities, who welcomed an opportunity to apply their theories; by investment bankers, who saw the huge fees they would earn to finance numerous buyouts and mergers; by lawyers, accounting organizations and some engineers, who saw increased business; and by entrepreneurs, who saw opportunities for huge profits. Some utility executives believed competition would help increase the return to investors that had, at times, been unfairly limited by regulators. Advocates often cited gains in electricity power market efficiency as proof that liberalization could unlock innovation.

In general, those favouring Electricity Deregulation and competition as a driver were not aware of its effect on the benefits of coordination. Most lacked knowledge of power systems functioning and costs. The concept that profits would increase for the suppliers while prices would go down for consumers obviously required major cost reductions. But no analyses of the source of these cost reductions were conducted by competent engineers. Rather, it was the common belief they would result from increased competition. They sometimes conflated consumer-level tactics like how to save electricity with systemic cost drivers in bulk power operations.

Have such cost reductions occurred? The answer is clearly no. There have been some improvements in generator unit availability and efficiency. On the other hand, there have been huge additional costs and cost increases stemming from the reduced benefits of coordination, the increased complexity of the system, scheduling, and other operating procedures. For end users, focusing on saving electricity can mitigate bill impacts even as market-level costs fluctuate.

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Voltage is the electric potential difference that drives current through a circuit. It relates to energy conversion, electrical work, power, density, and forms of electricity, explained through principles of conservation and thermodynamics.

What is Voltage?

Voltage is the measure of the electrical potential difference between two points, representing the force that pushes electrons and enables the transfer of energy.

✅ Determines current flow in a circuit

✅ Relates to work, power, and energy conversion

✅ Fundamental to electrical systems and safety

Definition

Voltage (V, EMF, or E) is electrical pressure, a potential force or difference in electrical charge between two points in an electric circuit. Voltage pushes current through a wire, much like water pressure pushes water through a pipe. The level of voltage is proportional to the difference in potential electrical energy between two points. Voltage is measured in volts (V).

• One volt equals one joule of work per coulomb of charge: V = W/Q

• Voltage across a resistor follows Ohm’s law: V = I·R

• Electrical power relates to voltage as P = V·I

A voltage of one volt is required to force one ampere of current through one ohm of resistance. The letter E, which stands for electromotive force (EMF), or V, which stands for volt, is commonly used to represent voltage in formulas. In three-phase systems, voltage plays a critical role in balancing loads and ensuring efficient 3 phase electricity distribution.

Voltage and the Electric Field

Voltage, or potential difference, exists between any two charges that are not equal. Even an uncharged body has a potential difference relative to a charged one. More formally, voltage is linked to the electric field by the relation:

dV/dx = –E

This shows that voltage is the integral of the electric field across a distance. Voltage itself does not flow like current; instead, it exists between two points and provides the force that moves charge when a conductive path is present. A change in voltage across a circuit directly affects the flow of active power and reactive power in modern electrical systems.

DC vs AC Voltage

• DC Voltage: A steady, unchanging potential difference (like that from a battery).

• AC Voltage: A time-varying voltage, often sinusoidal in form, alternating between positive and negative values.

AC voltages are described by different measures:

• Peak voltage: the maximum value reached.

• RMS (root mean square) voltage: the effective value that produces the same heating effect as DC. For a sinusoidal wave, Vrms = Vpeak/√2.

Visualizing AC voltage as a waveform helps illustrate these differences. In power distribution, nominal voltage ratings are carefully selected to optimize 3 phase power delivery while ensuring electricity safety.

Voltage Sources

• Ideal sources: Supply a constant voltage regardless of current drawn.

• Real sources: Contain internal resistance, so voltage drops as load current increases.

This explains why batteries or generators cannot maintain voltage perfectly under heavy load. Voltage sag is a common power quality issue that impacts electrical resistance and the performance of sensitive electrical energy devices.

Measuring Voltage

A voltmeter measures the potential difference between two points. It must be connected across the component, not in series, because voltage is defined between points, not through them. Very small voltages are measured in millivolts and microvolts, while very large ones are expressed in kilovolts and megavolts. To measure voltage accurately, electricians rely on instruments like the voltmeter or multimeter, which are essential for diagnosing electrical circuits.

Voltage, Resistance, and Ohm’s Law

Electrical resistance (R) is the opposition to the flow of electrons (current). It can be compared to friction that slows motion. Resistance is measured in ohms (Ω).

Resistance arises partly because atoms resist losing electrons to the positive nucleus, and partly due to collisions between moving electrons and atoms. This resistance produces heat, which is why wires warm up when current flows. Heating elements and lamp filaments operate on this principle, as their high resistance converts electrical energy into light and heat.

Every electrical component has some resistance, and resistance changes electrical energy into other forms such as heat, light, or motion.

An ohmmeter is used to measure resistance when no current is flowing. Most multimeters include an ohmmeter function powered by an internal battery. For this reason, ohmmeters should never be connected to live circuits.

Ohm’s Law ties resistance directly to voltage: V = I·R. The higher the resistance, the greater the voltage required to drive a given current. The relationship between voltage, current, and resistance is the foundation of Ohm’s Law, which underpins all basic electricity concepts.

Safety Considerations

Voltage is directly tied to safety in electrical systems. High voltages can break down insulation, ionize air, and cause arcing or shock hazards.

• Breakdown voltage: The point at which insulation fails and current flows uncontrollably.

• Dielectric strength: A material’s maximum withstand voltage before breakdown.

• Ratings: All equipment is equipped with voltage ratings to ensure safe operation.

Understanding these factors is critical for designing and maintaining safe electrical systems.

Worked Examples

1. Simple resistor: A 2 A current flows through a 5 Ω resistor. Voltage = I·R = 2 × 5 = 10 V.

2. Power relation: A device consumes 100 W at 5 A. Voltage = P/I = 100 ÷ 5 = 20 V.

3. AC RMS: If Vpeak = 170 V, then Vrms = 170/√2 ≈ 120 V, the common household supply.

History and Applications

The unit “volt” is named after Alessandro Volta, the Italian scientist who pioneered the first chemical battery, the voltaic pile. His work established the foundation of the modern history of electricity.

Today, voltage underpins every electrical system, from the smallest microchip to the largest power grid. It enables energy transfer, communication, motion, and the transmission of light.

Frequently Asked Questions

Can voltage exist without current?

Yes. Voltage can be present even if no current flows. A battery not connected to a circuit still has a measurable voltage.

What’s the RMS voltage?

It is the effective value of an alternating voltage that produces the same heating effect as a direct voltage.

What is safe voltage?

Safe limits depend on the context, but typically 50 V or less is considered a threshold below which the risk of shock is reduced, although not eliminated.

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Resistances in parallel share voltage, add conductances, and reduce equivalent resistance; apply Ohm's law, current division, and circuit analysis to compute total R, branch currents, and power distribution in multi-branch networks.

What Are Resistances in Parallel?

Parallel resistors share voltage; total resistance decreases by summing conductances (1/R).

✅ Equivalent 1/Rt = sum(1/Ri); lower than smallest branch

✅ Same voltage across branches; currents split by conductance

✅ Use Ohm's law and current division to size components, power

Resistances in parallel is a common term used in industrial, commercial, and institutional power systems. Therefore, a good understanding of working with resistors in parallel and calculating their various parameters is crucial for maintaining safe and efficient operations. For foundational context, see this overview of electrical resistance for key definitions applied throughout.

It means that when resistors are connected in parallel, they share the same voltage across them. Hence, this means that the resistances are in parallel. This is because the total resistance of the resistors in parallel is less than that of any individual resistor, making it a useful configuration for reducing resistance and increasing current in a circuit. A clear grasp of electrical resistance helps explain why parallel branches draw more current.

Adding more resistors in parallel reduces the circuit's total resistance, increasing the current. However, adding too many resistors in parallel can overload the circuit and cause it to fail. Engineers often verify safe loading using the resistance formula to predict current increases.

Understanding Resistances in Parallel

They refer to the configuration in which two or more resistors are connected side by side across the same voltage points in an electrical circuit. In this arrangement, the voltage across each resistor is the same, while the current is divided among the resistors according to their resistance values. This configuration is commonly used in circuit analysis to simplify complex circuits and determine the equivalent parallel resistance.

When simplifying networks, computing the equivalent resistance streamlines analysis and component selection.

Calculating the Equivalent Resistance

To calculate the equivalent resistance of resistances in parallel, the reciprocal of the equivalent resistance (1/Req) is equal to the sum of the reciprocals of the individual resistances (1/R1 + 1/R2 + ... + 1/Rn). This formula is crucial in resistance calculation and helps engineers design efficient power systems that meet the desired voltage drop and current distribution requirements. A comparable reciprocal relationship appears when evaluating capacitance in series under similar analysis methods.

To calculate the total resistance of resistors in parallel, the reciprocal of each resistor is added together, and then the result is inverted to give the total resistance. This can be represented mathematically as:

1/Rt = 1/R1 + 1/R2 + 1/R3 + ...

where Rt is the total resistance and R1, R2, R3, etc. are the individual resistors.

Five resistors R(1) through R(5), connected in parallel, produce a net resistance R.

In a circuit with resistors in parallel, the current is divided among the resistors according to their individual resistance values. This is known as the current division, and it can be calculated using Ohm's law and the circuit's total resistance. The formula for calculating the current through each resistor in parallel is:

I1 = (V/R1) * (R2/(R2 + R3)) I2 = (V/R2) * (R1/(R1 + R3)) I3 = (V/R3) * (R1/(R1 + R2))

where I1, I2, and I3 are the currents through each resistor, V is the voltage across the circuit, and R1, R2, and R3 are the individual resistors.

Simplifying a circuit with resistors in parallel involves finding the equivalent resistance of the circuit. This is the resistance value that would produce the same current as the original parallel circuit, and it can be calculated using the reciprocal formula:

1/Req = 1/R1 + 1/R2 + 1/R3 + ...

where Req is the equivalent resistance.

Impact on Total Resistance

In a parallel configuration, adding more resistors decreases the total resistance. The reason is that the current has multiple paths to flow through, reducing the overall opposition to current flow. This characteristic is particularly useful in designing power supply systems, where lower resistance is desired to minimize energy losses and improve system efficiency. By contrast, capacitance in parallel increases as components are added, offering a helpful design analogy.

Practical Applications

They are employed in various real-life circuits and power systems. For instance, they are commonly found in circuit simulations, power distribution systems, and load balancing applications. In industrial settings, a parallel resistor calculator is often used to measure multiple current paths for fault protection and redundancy. In commercial and institutional power systems, parallel configurations are employed to manage load distribution and ensure system reliability.

Differences between Parallel and Series Connections

In a series circuit, resistors are connected end-to-end, and the current flows consecutively from the source of each resistor. The total resistance in a series circuit equals the sum of individual resistances, and the voltage drop across each single resistor is different. In contrast, they share the same voltage, and the total resistance decreases as more resistors are added. Identifying these connections in a circuit diagram is crucial for proper circuit analysis and design. For direct comparison of methods, review resistance in series to see how sums differ from reciprocals.

Combining Resistances in Parallel and Series

They can be combined with resistances in series within the same circuit. In such cases, equivalent resistances for both parallel and series sections are calculated separately. Then, the total resistance is determined by adding the equivalent resistances of the series and parallel sections. This approach helps engineers analyze complex circuits and design efficient power systems.

They are crucial to industrial, commercial, and institutional power systems. Understanding how to calculate the total resistance, current distribution, and power dissipation of resistors in parallel is essential for maintaining safe and efficient operations. In addition, engineers can optimize their designs for optimal performance by using circuit simulation software and other tools.

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Electromagnetic induction is the process of generating electric current by changing a magnetic field, forming the basis for transformers, generators, and electric motors in power generation and energy conversion systems.

What is Electromagnetic Induction?

Electromagnetic induction is a fascinating and vital concept shaping how we generate, transfer, and utilize electricity.

✅ Process where a changing magnetic field induces an electric current in a conductor

✅ Fundamental principle behind transformers, generators, and electric motors

✅ Essential for modern power generation, transmission, and energy conversion

Its underlying principles, Faraday's Law and Lenz's Law, explain the phenomena occurring when magnetic fields interact with conductors. At the same time, its various applications, such as electric generators, transformers, induction heating, and wireless charging, have revolutionized our daily lives. As we continue to explore and understand this intricacy, we can look forward to even more innovations and advancements in electricity and magnetism. Understanding Faraday's Law is essential to grasp how changing magnetic fields generate electricity through electromagnetic induction.

Fundamental Laws of Electromagnetic Induction

Faraday's Law of electromagnetic induction, invented by Michael Faraday, is a key principle that states that the induced EMF in a coil is proportional to the rate of change of the magnetic flux (dφ/dt) passing through the coil. The more rapidly the magnetic field changes, the higher the amount of voltage induced will be. This relationship between electricity and magnetism laid the foundation for the development of various electrical devices and systems. The relationship between electricity and magnetism forms the foundation of generators, transformers, and other key electrical systems.

Lenz's Law, another crucial principle, explains the direction of the induced current. It states that the induced current will always flow in a direction that opposes the change in magnetic flux, acting as a stabilizing electromotive force. By combining Faraday's and Lenz's Law, we can better understand how it operates in real-world applications. For a deeper understanding of how voltage is produced in coils, explore the principles of Lenz's Law.

Core Applications: Generators and Transformers

One notable application is the electrical generator, which converts mechanical energy into electrical energy. In a typical generator, a coil of wire rotates within a magnetic field, creating a changing magnetic flux. This change induces a voltage and current in the coil, generating electricity. Generators are commonly used in power plants, automobiles, and other devices requiring a continuous electrical supply. A three-phase transformer uses electromagnetic induction to efficiently transfer power between circuits at different voltages.

Another critical application is the transformer, which transfers electrical energy between circuits with different voltages. Transformers consist of two induction coils wrapped around a shared magnetic core. When an alternating current flows through the primary coil, it creates a magnetic field that induces a voltage in the secondary coil. By adjusting the number of turns in the coils, transformers can step up or down the voltage as needed for specific electrical systems.

Special Phenomena: Eddy Currents, Mutual Inductance, and Self-Inductance

Eddy currents are an intriguing aspect of electromagnetic induction. These currents form when a magnetic field changes, causing swirling, closed loops of electric current within a conductor. Eddy currents generate heat and can lead to energy losses in electrical systems, but they also have practical applications, such as in metal detectors and induction heating. Devices that use electromagnetic induction, such as electric motors, rely on core principles of inductance to regulate energy transfer.

Two critical aspects of electromagnetic induction are mutual inductance and self-inductance. Mutual inductance occurs when the current in one coil induces a voltage in a nearby coil due to their shared magnetic field. Self-inductance refers to a coil's ability to induce a voltage within itself when the current flowing through it changes. Understanding these concepts is crucial for designing and analyzing complex electrical circuits and systems.

Demonstrating the Principle: Coil and Magnet Interaction

In many cases, it involves the interaction of a coil and a magnet, either a permanent magnet or an electromagnet. A bar magnet, for example, may be moved near a coil, or the coil may be moved about the magnet. This motion changes the magnetic field and induces a voltage in the coil, demonstrating the dynamic relationship between electricity and magnetism. Learning the basics of electrical resistance helps explain how eddy currents generate heat in conductive materials.

Modern Impact and Emerging Technologies

It has an immense impact on modern life, from generating electricity in power plants to operating devices like transformers, electric motors, and wireless chargers. The principles of Faraday's Law and Lenz's Law help explain the complex phenomena that occur when magnetic fields interact with conductors. By harnessing these principles, scientists and engineers have created various practical applications that have revolutionized our daily lives.

Electromagnetic induction demonstrates the fundamental relationship between electricity and magnetism and is integral to many aspects of our modern world. Faraday's Law and Lenz's Law underpin this phenomenon, governing the induced voltage and current when magnetic fields change. The applications of electromagnetic induction range from electric generators and transformers to the study of eddy currents, mutual in influence and self-inductance. By understanding these principles, we can continue to innovate and develop new technologies to improve our daily lives and advance our understanding of the world.

Induction Heating

Electromagnetic induction heating is another practical application that relies on electromagnetic induction. This technology utilizes eddy currents to heat conductive materials, such as metals. By placing a conductive material within a rapidly changing magnetic field, eddy currents are generated within the material, producing heat due to their resistance. This heating method has been employed in various industrial processes, including metal hardening, welding, and cooking.

Wireless charging is an emerging technology that utilizes electromagnetic induction to transfer energy between two coils. When an electric current flows through the primary coil, it generates a magnetic field, which induces a voltage in the secondary coil, providing power to the device. This technology has seen increasing adoption in recent years, particularly for charging electric vehicles and smartphones, offering convenience and reduced dependence on cords and cables.

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An ampere to ampere hour calculator converts electric current (amps) to electric charge (Ah) based on time. Multiply current by time in hours to get ampere hours. It's useful for battery capacity, energy storage, and electrical system design.

What is "Ampere to Ampere Hour Calculator"?

An ampere to ampere hour calculator helps convert current flow over time into stored electrical charge.

✅ Multiply current (A) by time (h) to calculate charge (Ah)
✅ Useful for battery sizing and energy storage systems
✅ Supports electrical load and backup power planning

The Ampere to Ampere-Hour Calculator is a useful tool that allows users to estimate the capacity of a battery by converting the current supplied by an electrical device into ampere-hours (Ah). This calculation is particularly important when working with batteries, as it helps determine how long a battery can power a device based on the current it supplies and the device's usage duration. By using this calculator, you can easily convert amps to Ah and estimate the run-time for a specific battery. Understanding how voltage affects battery performance is key, and our voltage guide explains the role voltage plays in ampere-hour calculations. When calculating ampere-hours, it's important to account for voltage drop across conductors, especially in longer circuits. Use our voltage drop calculator to estimate losses and adjust your amp-hour estimations more accurately.

Frequently Asked Questions

What is an Ampere to Ampere Hour calculator, and how does it work?

This calculator helps convert the current, measured in amperes, into Ah capacity, which indicates how long a battery can supply a given current. For instance, a 100ah battery will deliver 100 ampere-hours of charge, meaning it can supply 1 ampere of current for 100 hours, or 10 amperes for 10 hours. To calculate Ah, the formula involves multiplying the current (in amperes) by the time in hours. For example, if a device draws 5 amperes for 20 hours, the result would be 100 ampere-hours. Learn how a watthour meter measures energy over time, complementing ampere-hour readings in power systems.

How do you convert amperes to ampere-hours using a calculator?

To convert amps to Ah, simply multiply the number of amperes by the number of hours the current is expected to flow. This step-by-step method is straightforward:

Ampere Hour (Ah) = Amperes (A) × Time (hours)

For example, a device drawing 5 amps for 10 hours would result in a consumption of 50 Ah. In practical applications, a 100ah battery could theoretically supply 5 amps for 20 hours before running out of charge. By following these steps, users can easily convert Ah to ensure they select the right battery for their needs. A basic understanding of watts law helps you relate amps, volts, and watts to better interpret your battery’s output.

Why is converting amperes to ampere-hours important for battery capacity calculation?

Knowing how to convert amperes to Ah is crucial in determining the capacity of a battery. It enables users to estimate the battery life of a connected device based on its current draw. This information is crucial for selecting the appropriate battery type for various applications, including powering electronic devices, off-grid systems, and backup power sources. A 100 Ah battery might be suitable for low-power consumption devices, while larger systems might require batteries with higher capacities. Knowing what ammeters measure can help you determine current flow before calculating ampere-hours.

What factors should be considered when using an Ampere to Ampere Hour calculator?

When using an Ampere to Ampere Hour Calculator, several factors can affect the accuracy of the results. These include the hour rating of the battery, which defines its capacity over a specific time period, as well as the efficiency of the battery, which can vary depending on the battery type. Additionally, environmental conditions, such as temperature, may affect the battery’s performance. It is also important to avoid common input errors, such as the “error this field is required” message, which can result from incomplete or incorrect data entry.

What are common applications of Ampere to Ampere Hour conversion in electrical systems?

Ah conversions are widely used in battery-powered devices, such as 100ah batteries for solar power systems, electric vehicles, and portable electronics. Calculating the battery Ah capacity is essential for ensuring that a battery can provide sufficient power for the required period. These conversions also help in sizing the battery system correctly and ensuring optimal performance over time. Many industries rely on these calculations for designing and managing power systems.

The Ampere to Ampere Hour Calculator is a valuable tool for converting amperes to Ah and estimating the capacity of a battery. Understanding how to calculate Ah ensures that you select the right battery type for your application, whether it’s powering an electrical device or an entire off-grid system. By considering factors like the hour rating and potential errors, you can make more informed decisions when choosing batteries for long-term use. Explore the concept of what is an ampere to understand the foundation of converting current to amp-hours in any system.

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Electricity and magnetism are interconnected forces forming electromagnetism, which explains electric currents, magnetic fields, and their interactions. These principles power motors, generators, transformers, and more in modern electrical and magnetic systems.

What is: "Electricity and Magnetism"

Electricity and magnetism are fundamental forces in physics that form the basis of electromagnetism.

✅ Describe how electric charges and magnetic fields interact in nature and technology

✅ Underlie the function of motors, transformers, and generators

✅ Explain current flow, induction, and electromagnetic waves

Electricity - What is it?

Electricity is a form of energy that is transmitted through copper conductor wire to power the operation of electrical machines and devices, including industrial, commercial, institutional, and residential lighting, electric motors, electrical transformers, communications networks, home appliances, and electronics.

When charged particles flow through the conductor, we call it "current electricity". This is because when the charged particles flow through wires, electricity also flows. We know that current means the flow of anything in a particular direction. For example, the flow of water. Similarly, the flow of electricity in a specific direction is referred to as an electric current. The interplay of charge, field, and force is explored in what is electric load, covering how power is delivered in electromagnetic systems.

When an electric current flows, it produces a magnetic field, a concept closely tied to Faraday's Law of Induction, which underpins much of modern electrical engineering.

Magnetism  - What is it?

Magnetism is a type of attractive or repulsive force that acts up to certain distance at the speed of light. The distance up to which this attractive or repulsive force acts is called a "magnetic field". Magnetism is caused by the moving electric charges (especially electrons). When two magnetic materials are placed close to each other, they experience an attractive or repulsive force. To understand magnetic field strength and units, our magnetic induction basics in induction page discusses flux and Teslas.

What is the relationship between electricity and magnetism?

In the early days, scientists believed that there were two uniquely separate forces. However, James Clerk Maxwell proved that these two separate forces were actually interrelated.

In 1820, Hans Christian Ørsted observed a surprising phenomenon: when he switched on the battery from which the electric current was flowing, the compass needle moved away from the north pole. After this experiment, he concluded that the electric current flowing through the wire produces a magnetic field.

Electricity and magnetism are closely related to each other. The electric current flowing through the wire produces a circular magnetic field outside the wire. The direction (clockwise or counterclockwise) of this magnetic field depends on the direction of the electric current.

Similarly, a changing magnetic field generates an electric current in a wire or conductor. The relationship between them is called electromagnetism.

Electricity and magnetism are interesting aspects of electrical sciences. We are familiar with the phenomenon of static cling in our everyday lives - when two objects, such as a piece of Saran wrap and a wool sweater, are rubbed together, they cling.

One feature of this that we don't encounter too often is static "repulsion" - if each piece of Saran wrap is rubbed on the wool sweater, then the pieces of Saran wrap will repel when brought near each other. These phenomena are interpreted in terms of the objects acquiring an electric charge, which has the following features:

• There are two types of charge, which by convention are labelled positive and negative.

• Like charges repel, and unlike charges attract.

• All objects may have a charge equal to an integral number of a basic unit of charge.

• Charge is never created or destroyed.

To explore how electric and magnetic forces interact at a distance, see what is static electricityis, which includes examples like static cling and repulsion.

Electric Fields

A convenient concept for describing these electric current and magnetic current forces is that of electric field currents. Imagine that we have a fixed distribution of charges, such as on the plate below, and bring a test charge Q into the vicinity of this distribution.

Fig. 1 Test charge in the presence of a fixed charge distribution

This charge will experience a force due to the presence of the other charges. One defines the electric field of the charge distribution as:

The electric field is a property of this fixed charge distribution; the force on a different charge Q' at the same point would be given by the product of the charge Q' and the same electric field. Note that the electric field at Q is always in the same direction as the electric force.

Because the force on a charge depends on the magnitude of the charges involved and the distances separating them, the electric field varies from point to point, both in magnitude and direction.

By convention, the direction of the electric field at a point is the direction of the force on a positive test charge placed at that point. An example of the electric field due to a positive point charge is given below. 

Fig. 2: Electric field lines of a positive charge

Power and Magnetic Fields

A phenomenon apparently unrelated to power is electromagnetic fields. We are familiar with these forces through the interaction of compasses with the Earth's magnetic field, or the use of fridge magnets or magnets on children's toys. Magnetic forces are explained in terms very similar to those used for electric forces:

• There are two types of magnetic poles, conventionally called North and South
• Like poles repel, and opposite poles attract

However, this attraction differs from electric power in one important aspect:

• Unlike electric charges, magnetic poles always occur in North-South pairs; there are no magnetic monopoles.

Later on we will see at the atomic level why this is so.

As in the case of electric charges, it is convenient to introduce the concept of a magnetic field in describing the action of magnetic forces. Magnetic field lines for a bar magnet are pictured below.

Fig. 3: Magnetic field lines of a bar magnet

One can interpret these lines as indicating the direction that a compass needle will point if placed at that position.

The strength of magnetic fields is measured in units of Teslas (T). One tesla is actually a relatively strong field - the earth's magnetic field is of the order of 0.0001 T.

Magnetic Forces On Moving Charges

One basic feature is that, in the vicinity of a magnetic field, a moving charge will experience a force. Interestingly, the force on the charged particle is always perpendicular to the direction it is moving. Thus, magnetic forces cause charged particles to change their direction of motion, but they do not change the speed of the particle.

This property is utilized in high-energy particle accelerators to focus beams of particles, which ultimately collide with targets to produce new particles, including gamma rays and radio waves.

Another way to understand these forces of electricity and magnetism is to realize that if the force is perpendicular to the motion, then no work is done. Hence, these forces do no work on charged particles and cannot increase their kinetic energy.

If a charged particle moves through a constant magnetic field, its speed stays the same, but its direction is constantly changing. A device that utilizes this property is the mass spectrometer, which is used to identify elements. A basic mass spectrometer is pictured below.

Figure 4: Mass spectrometer

In this device, a beam of charged particles (ions) enters a region of a magnetic field, where they experience a force and are bent in a circular path. The amount of bending depends on the mass (and charge) of the particle, and by measuring this amount one can infer the type of particle that is present by comparing it to the bending of known elements.

Magnet Power From Electric Power

A connection was discovered (accidentally) by Orsted over 100 years ago, when he noticed that a compass needle is deflected when brought into the vicinity of a current-carrying wire. Thus, currents induce magnetic fields in their vicinity. An electromagnet is simply a coil of wires which, when a current is passed through, generates a magnetic field, as below.

Figure 5: Electromagnet

Another example is in an atom, where an electron is a charge that moves around the nucleus. In effect, it forms a current loop, and hence, a magnetic field may be associated with an individual atom. It is this basic property which is believed to be the origin of the magnetic properties of various types of materials found in nature.

Maxwell's equations (also known as Maxwell's theory) are a set of coupled partial differential equations that, together with the Lorentz force law, form the foundation of classical electromagnetism, which deals with electromagnetic radiation, electromagnetic waves, and electromagnetic force.  For a deeper understanding of the magnetic effects of electrical current, our article on electromagnetic induction explains how magnetic fields can generate electricity in conductors.

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